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Finding the Fourth Proportional to 12,110.40, 18,171.07 and 6,183.63

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Solution

The fourth proportional to 12,110.40, 18,171.07 and 6,183.63 is: 9,278.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,110.40 : 18,171.07 = 6,183.63 : x
  2. Step 2: Convert to fraction form
    12,110.40/18,171.07 = 6,183.63/x
  3. Step 3: Cross multiply
    12,110.40x = 18,171.07 × 6,183.63
  4. Step 4: Simplify right side
    12,110.40x = 112,363,173.58
  5. Step 5: Solve for x
    x = 112,363,173.58/12,110.40
  6. Step 6: Final answer
    x = 9,278.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.